Dr. yang wang Profile

Dr. yang wang

at Kunming University of Science and Technology

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Proceedings Article | 6 May 2022 Paper

Online scheduling of three parallel machines with two GoS levels

Zhao-rui Wu, Yang Wang

Proceedings Volume 12176, 1217616 (2022) https://doi.org/10.1117/12.2636387

KEYWORDS: Information technology, Algorithms

Read Abstract +

We consider an online scheduling problem on three parallel and identical machines with two grades of service (GoS) levels. Given are three machines and n independent jobs, each job and machine assigned the GoS levels of 1 or 2. The processing rule is that the job is allowed to be processed on some particular machines only when the GoS level of the job is no less than that of the machine, the jobs arrive over time and the three machines are idle at the same time only when all jobs arrived are completed. The objective is to minimize the makespan. In this paper, we show that any online approximation algorithm for the problem under consideration achieves the competitive ratio is no better than 4 / 3 , even for the case where the GoS levels of machines are 1, 2, 2, respectively. Moreover, we present an approximation algorithm with a competitive ratio of 5 / 3which is better than the best known algorithm whose the competitive ratio is 9 / 5 .

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